Iterate over columns in C++ matrix

I want to iterate over rows and columns in std::vector<std::vector<int>> matrix and get their sum.

I know that I can do this in nested loop, but here is my question. Can I use

int val_sum = 0;
std::for_each(matrix_[row].begin(),matrix_[row].end(),[&](int x) {  val_sum += x;});

for columns and how to do that?

>Solution :

The analogous way of your proposal is to iterate the matrix rows and accumulate the elements in the given column.

int val_sum = 0;
std::for_each(matrix.begin(),matrix.end(),[&](std::vector<int> &row) {  val_sum += row[column];});

But I would still prefer to use the c++11 loop version

int val_sum = 0;
for ( const std::vector<int> &row : matrix )
   val_sum += row[column];